3rd September, 2008 HSB Day 10 Inv.3-problem 3.4-Pg 41
A.) Copy Sydney’s table. Complete it to give information about income and estimated costs for up to 10 customers.
# of customers
Income
Bike rental
Food and camp costs
Van rental
1
$350
$30
$125
$700
2
$700
$60
$250
$700
3
$1,050
$90
$375
$700
4
$1,400
$120
$500
$700
5
$1,750
$150
$625
$700
6
$2,100
$180
$750
$700
7
$2,450
$210
$875
$700
8
$2,800
$240
$1,000
$700
9
$3,150
$270
$1,125
$700
10
$3,500
$300
$1,250
$700
B.) How does the income column change as the number of customers increases?
Explain how you can use this relationship to calculate the income of any number of customers. The income column changes by adding $350 dollars each time as the customer rate increases starting from 1.
C.) Add and complete a column for "Total Cost" ( including bike rental, food and camp costs, and van rental ) to your table. How does the total cost change as the number of customers increases? Describe how you can calculate the total cost for any number of customers.
# of customers
Income
Bike rental
Food and camp costs
Van rental
Total Cost
1
$350
$30
$125
$700
$855
2
$700
$60
$250
$700
$1710
3
$1,050
$90
$375
$700
$2565
4
$1,400
$120
$500
$700
$3420
5
$1,750
$150
$625
$700
$4275
6
$2,100
$180
$750
$700
$5130
7
$2,450
$210
$875
$700
$5985
8
$2,800
$240
$1,000
$700
$6840
9
$3,150
$270
$1,125
$700
$7695
10
$3,500
$300
$1,250
$700
$8550
*The total cost changes as the number of customers there are. As the rate of customers increases $855 are added every time to the total cost.
D.) Add and complete a column for “Profit.” What profit would be earned from a trip with 5 customers? 10 customers? 25 customers?
# of customers
Income
Bike rental
Food and camp costs
Van rental
Total Cost
Profit
1
$350
$30
$125
$700
$855
$-505
2
$700
$60
$250
$700
$1710
$-310
3
$1,050
$90
$375
$700
$2565
$-115
4
$1,400
$120
$500
$700
$3420
$80
5
$1,750
$150
$625
$700
$4275
$275
6
$2,100
$180
$750
$700
$5130
$470
7
$2,450
$210
$875
$700
$5985
$665
8
$2,800
$240
$1,000
$700
$6840
$860
9
$3,150
$270
$1,125
$700
$7695
$1055
10
$3,500
$300
$1,500
$700
$8550
$1250
*The profit that would be earned would be $275 for 5 customers, $1250 for 10 customers, and $2,500 for 25 customers. Follow Up:
1.) What other patterns of change do you see in the table? The patterns of change I see in the table is that the Income goes up by $350, Bike Rental goes up by $30, Fod and Camp Costs goes up by $125, Total Cost goes up by $855 and the profit goes up by $195.
2.) What is the least number of customers needed for the tour to make profit.
Well any number above 3 customers can make a profit but i think I would choose 10 customers because it gets the most profit and because I can handle the 10 people.
3.) What do you think is the least number of customers needed to make it worthwhile for the students to run the tour? Explain your answer.
I think the least number for them to make it worthwhile is 5-7 customers because there is alot of profit to split betwwen them and because that is not to much or too little.
HSB
Day 10
Inv.3-problem 3.4-Pg 41
A.) Copy Sydney’s table. Complete it to give information about income and estimated costs for up to 10 customers.
B.) How does the income column change as the number of customers increases?
Explain how you can use this relationship to calculate the income of any number of customers.The income column changes by adding $350 dollars each time as the customer rate increases starting from 1.
C.) Add and complete a column for "Total Cost" ( including bike rental, food and camp costs, and van rental ) to your table. How does the total cost change as the number of customers increases? Describe how you can calculate the total cost for any number of customers.
D.) Add and complete a column for “Profit.” What profit would be earned from a trip with 5 customers? 10 customers? 25 customers?
*The profit that would be earned would be $275 for 5 customers, $1250 for 10 customers, and $2,500 for 25 customers.
Follow Up:
1.) What other patterns of change do you see in the table?
The patterns of change I see in the table is that the Income goes up by $350, Bike Rental goes up by $30, Fod and Camp Costs goes up by $125, Total Cost goes up by $855 and the profit goes up by $195.
2.) What is the least number of customers needed for the tour to make profit.
Well any number above 3 customers can make a profit but i think I would choose 10 customers because it gets the most profit and because I can handle the 10 people.
3.) What do you think is the least number of customers needed to make it worthwhile for the students to run the tour? Explain your answer.
I think the least number for them to make it worthwhile is 5-7 customers because there is alot of profit to split betwwen them and because that is not to much or too little.